Uniform Boundedness and Global Existence of Solutions to a Quasilinear Diffusion Equation with Nonlocal Fisher-KPP Type Reaction Term

被引：1

作者：

Tao, Xueyan ^{[1
]}

Fang, Zhong Bo ^{[2
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2021年 / 25卷 / 01期

关键词：

quasilinear diffusion equation; nonlocal Fisher-KPP reaction; uniform boundedness; global existence; TIME BEHAVIOR;

D O I：

10.11650/tjm/200402

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the Cauchy problem and Neumann initial boundary value problem for a quasilinear diffusion equation with nonlocal Fisher-KPP type reaction terms. We establish the uniform boundedness and global existence of solutions to the problems by using multipliers technique and modified Moser's iteration argument for some ranges of parameters. Moreover, the ranges of parameters have similar structure to that of the classical critical Fujita exponent.

引用

页码：89 / 105

页数：17

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